— 3х – 4y = 2
—5 = 5x +5y
Systems of equations with substitution

Rewrite  

(

3

x

−

4

y

)

2

as  

(

3

x

−

4

y

)

(

3

x

−

4

y

)

.

(

3

x

−

4

y

)

(

3

x

−

4

y

)

Expand  

(

3

x

−

4

y

)

(

3

x

−

4

y

)

using the FOIL Method.

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Apply the distributive property.

3

x

(

3

x

−

4

y

)

−

4

y

(

3

x

−

4

y

)

Apply the distributive property.

3

x

(

3

x

)

+

3

x

(

−

4

y

)

−

4

y

(

3

x

−

4

y

)

Apply the distributive property.

3

x

(

3

x

)

+

3

x

(

−

4

y

)

−

4

y

(

3

x

)

−

4

y

(

−

4

y

)

Simplify and combine like terms

Simplify each term.

9

x

2

−

12

x

y

−

12

y

x

+

16

y

2

Subtract  

12

y

x

from  

−

12

x

y

.  

9

x

2

−

24

x

y

+

16

y

2

Step-by-step explanation:

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